Properties

Genus \(15\)
Quotient Genus \(0\)
Group \(C_{36}\)
Signature \([ 0; 6, 36, 36 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 15
Quotient Genus: 0
Group name: $C_{36}$
Group identifier: [36,2]
Signature: $[ 0; 6, 36, 36 ]$
Conjugacy classes for this refined passport: 7, 25, 26

Jacobian variety group algebra decomposition:$E\times A_{3}\times A_{6}\times A_{3}\times A_{2}$
Corresponding character(s): 2, 5, 6, 7, 14

Other Data

Hyperelliptic curve(s):No
Cyclic trigonal curve(s):No

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.36-2.0.6-36-36.1.1

  (1,5,3,4,2,6) (7,11,9,10,8,12) (13,17,15,16,14,18) (19,23,21,22,20,24) (25,29,27,28,26,30) (31,35,33,34,32,36)
  (1,25,16,23,8,32,6,30,15,19,10,34,2,26,17,24,9,33,4,28,13,20,11,35,3,27,18,22,7,31,5,29,14,21,12,36)
  (1,32,10,24,13,27,5,36,8,19,17,28,3,31,12,23,15,26,4,35,7,21,16,30,2,33,11,22,14,25,6,34,9,20,18,29)